Finding the Fourth Proportional to 546,523,990,254.70, 754,226,814,368.08 and 302,653,459,113.75
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Solution
The fourth proportional to 546,523,990,254.70, 754,226,814,368.08 and 302,653,459,113.75 is: 417,674,902,465.79
Step by Step Solution
- Step 1: Write the proportion equation
546,523,990,254.70 : 754,226,814,368.08 = 302,653,459,113.75 : x - Step 2: Convert to fraction form
546,523,990,254.70/754,226,814,368.08 = 302,653,459,113.75/x - Step 3: Cross multiply
546,523,990,254.70x = 754,226,814,368.08 × 302,653,459,113.75 - Step 4: Simplify right side
546,523,990,254.70x = 228,269,354,324,843,592,417,280 - Step 5: Solve for x
x = 228,269,354,324,843,592,417,280/546,523,990,254.70 - Step 6: Final answer
x = 417,674,902,465.79
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.